I'm no expert on UL, but concerning the EU certifications, you need a layered top-down approach.
At the top level, there's CE, which is the manufacturer/importer's legal obligation. It's is a signed certificate of conformance that the equipment fulfills the norms needed/specified.
Below that, you have the directives, like EMC, LVD, RED etc., these are totally equipment-type related
And below that, you have the harmonized standards, usually with an ENxxxxx number.
VDE is no longer relevant, it's been replaced by the EU-wide regulations.